What is the Least Common Multiple of 37148 and 37152?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 37148 and 37152 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37148 and 37152, than apply into the LCM equation.

GCF(37148,37152) = 4
LCM(37148,37152) = ( 37148 × 37152) / 4
LCM(37148,37152) = 1380122496 / 4
LCM(37148,37152) = 345030624

Least Common Multiple (LCM) of 37148 and 37152 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37148 and 37152. First we will calculate the prime factors of 37148 and 37152.

Prime Factorization of 37148

Prime Factorization of 37152

Now multiplying the highest exponent prime factors to calculate the LCM of 37148 and 37152.

LCM(37148,37152) = 2⁵ × 37¹ × 251¹ × 3³ × 43¹
LCM(37148,37152) = 345030624